Lesson Worksheet: Integers on a Number Line Mathematics • 6th Grade

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In this worksheet, we will practice graphing an integer on a number line, writing its opposite, and deriving the relationship between that integer and its opposite.

Q1:

Which three integers lie between −2 and its opposite on a number line?

  • A−1,0,1
  • B1,2,3
  • C−3,0,3
  • D−3,−2,−1
  • E−2,0,2

Q2:

On a number line, which integer is halfway between any number and its opposite?

  • AThe number’s opposite
  • BThe number
  • CZero

Q3:

What is the opposite of zero?

  • Ait doesn’t have one
  • Bzero
  • Cany number

Q4:

William knows that −5 is 5 units to the left of zero on a number line, and that the opposite of −5 is 5 because it is the same distance from zero in the opposite direction.

What is the relationship between −5 and the opposite of 5?

  • AThey are the same.
  • BThey are opposites.

Q5:

Two numbers, 𝑎 and 𝑏, are opposite one another. If 𝑎 is 3 units to the right of 8 on a number line, determine the value of 𝑏.

Q6:

The freezing point of water is 0∘C, while its boiling point is 100∘C. If we represent these temperatures by integers on a number line, will they be opposites of each other?

  • ANo
  • BYes

Q7:

Select the number line which contains opposite quantities that add up to zero.

  • A
  • B
  • C
  • D
  • E

Q8:

The integer −7 is the opposite of 7 because they are the same distance from 0 on a number line, but in opposite directions. Elizabeth wrote that the opposite of −7 is −(−7), what number is this?

Q9:

Which of the following is true?

  • A−(−𝐶)=−𝐴
  • B−𝐶=𝐴
  • C−(−𝐶)=−𝐵
  • D−𝐶=𝐵
  • E−𝐶=0

Q10:

True or False: The opposite of the opposite of a number is the original number.

  • ATrue
  • BFalse

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